The Lévy wave packet and fractional uncertainty relations

Zi-Xuan Li; Xiao-Dong Li; Towe Wang

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arXiv · 2610.29397

The Lévy wave packet and fractional uncertainty relations

Zi-Xuan Li·Xiao-Dong Li·Towe Wang

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Abstract

This work revisits the debate on fractional uncertainty relations that arose a decade ago and tries to settle it. After a careful study of the position-momentum uncertainty product of the Lévy wave packet, a novel lower bound is proposed for uncertainty relations in fractional quantum mechanics. This bound is nearly linear in the Lévy index and is satisfied by exact, calculable solutions available in the literature.

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Zi-Xuan Li, Xiao-Dong Li, Towe Wang. 2026-10-21. The Lévy wave packet and fractional uncertainty relations. https://arxiv.org/abs/2610.29397

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